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Finding the Fourth Proportional to 205,535.48, 283,602.68 and 114,862.46

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Solution

The fourth proportional to 205,535.48, 283,602.68 and 114,862.46 is: 158,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,535.48 : 283,602.68 = 114,862.46 : x
  2. Step 2: Convert to fraction form
    205,535.48/283,602.68 = 114,862.46/x
  3. Step 3: Cross multiply
    205,535.48x = 283,602.68 × 114,862.46
  4. Step 4: Simplify right side
    205,535.48x = 32,575,301,487.39
  5. Step 5: Solve for x
    x = 32,575,301,487.39/205,535.48
  6. Step 6: Final answer
    x = 158,489.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.